What is the Least Common Multiple of 51960 and 51965?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51960 and 51965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51960 and 51965, than apply into the LCM equation.

GCF(51960,51965) = 5
LCM(51960,51965) = ( 51960 × 51965) / 5
LCM(51960,51965) = 2700101400 / 5
LCM(51960,51965) = 540020280

Least Common Multiple (LCM) of 51960 and 51965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51960 and 51965. First we will calculate the prime factors of 51960 and 51965.

Prime Factorization of 51960

Prime Factorization of 51965

Now multiplying the highest exponent prime factors to calculate the LCM of 51960 and 51965.

LCM(51960,51965) = 2³ × 3¹ × 5¹ × 433¹ × 19¹ × 547¹
LCM(51960,51965) = 540020280